Finding the Third Proportional to 401,436 and 577,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401,436 : 577,003.50 = 577,003.50 : x
2. Step 2: Convert to fraction form
   401,436/577,003.50 = 577,003.50/x
3. Step 3: Cross multiply
   401,436x = 577,003.50 × 577,003.50
4. Step 4: Simplify right side
   401,436x = 332,933,039,012.25
5. Step 5: Solve for x
   x = 332,933,039,012.25/401,436
6. Step 6: Final answer
   x = 829,355.21